Calculate grid-based distance by adding horizontal and vertical movement.
Last updated: June 2026 | By Patchworkr Team
Enter both points as real numbers.
Manhattan distance is the sum of the absolute coordinate differences.
It is a good fit for grid-based movement where diagonals are not allowed.
1. Enter the two points.
2. Read the Manhattan distance, coordinate deltas, and Euclidean comparison.
3. Use the result for grid routing or taxicab-style movement.
For points (1, 2) and (4, 6):
d = |4 - 1| + |6 - 2| = 3 + 4 = 7
The calculator should show 7.
No. Absolute values keep the sum non-negative.
No. Swapping points gives the same result.
Then one delta is zero and the formula still works.
No. Euclidean uses a square root of squared differences.
Related Tools
Calculate centroid.
Calculate cross-sectional area.
Calculate cylindrical coordinates.
Calculate direction vector.
Calculate distance between points.
Calculate point-to-plane distance.